4267200 has 168 divisors, whose sum is σ = 16125952. Its totient is φ = 967680.

The previous prime is 4267199. The next prime is 4267201. The reversal of 4267200 is 27624.

4267200 = T₄₁ + T₄₂ + ... + T₂₉₄.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4267199) and next prime (4267201).

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (4267201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33537 + ... + 33663.

Almost surely, 2^4267200 is an apocalyptic number.

4267200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4267200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8062976).

4267200 is an abundant number, since it is smaller than the sum of its proper divisors (11858752).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4267200 is a wasteful number, since it uses less digits than its factorization.

4267200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 4267200 is about 2065.7202133881. The cubic root of 4267200 is about 162.1988109359.

It can be divided in two parts, 426 and 7200, that added together give a triangular number (7626 = T₁₂₃).

The spelling of 4267200 in words is "four million, two hundred sixty-seven thousand, two hundred".